The inclusion of correlated auxiliary variables into the monitoring scheme of quality characteristic of interest has gained notable attention in recent statistical process control (SPC) literature. Several authors have investigated the use of a correlated auxiliary variable for efficient monitoring of variability in Phase II of SPC. This phase is generally used to detect any shifts in the expected behavior of the process parameters which are often estimated from the historical in‐control process in Phase I. However, no study has investigated the performance of auxiliary‐based variability charts in Phase I of SPC. Here, we propose auxiliary‐based dispersion control charts in Phase I of SPC. The auxiliary information is considered in the forms of regression, ratio, exponential, and power‐ratio forms. The performance of the variability charts is evaluated and compared using probability to signal as a performance measure. An illustrative example is also provided to show the application of the charts. This study will provide practitioners with appropriate recommendations on the choice of dispersion charts for Phase I analysis.

中文翻译：

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SPC第一阶段基于辅助信息的有效可变性控制图

在最近的统计过程控制（SPC）文献中，将相关辅助变量包含在目标质量特征的监视方案中已引起了广泛关注。几位作者研究了使用相关辅助变量来有效监视SPC第二阶段的变异性。此阶段通常用于检测过程参数的预期行为的任何变化，这些变化通常是根据阶段I的历史控制过程估算的。但是，没有研究研究阶段I的基于辅助的可变性图的性能。 SPC。在这里，我们在SPC的第一阶段中提出了基于辅助的色散控制图。辅助信息以回归，比率，指数和幂比形式出现。评估变异性图的性能，并使用发信号的概率作为性能指标进行比较。还提供了一个说明性示例以显示图表的应用。这项研究将为从业人员在选择用于I期分析的色散图时提供适当的建议。